Finite Group Databasebeta

← C43×#20195 #24940212

Subgroups — C43×#20195 #24940212

Order 11008.

722 conjugacy classes of subgroups.

The subgroup lattice has 646 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C43×#3366C211yesmaximal, characteristic, complemented
2C43×#3335C211yesmaximal, characteristic, complemented
3C43×#3274C211yesmaximal, characteristic, complemented
4C43×#3272C211yesmaximal, characteristic, complemented
5C43×#1715C211yesmaximal, characteristic, complemented
6C43×#1697C211yesmaximal, characteristic, complemented
7C43×#1691C211yesmaximal, characteristic, complemented
8C43×#1686C211yesmaximal, characteristic, complemented
9C43×#1667C211yesmaximal, characteristic, complemented
10C43×#1642C211yesmaximal, characteristic, complemented
11C43×#1629C211yesmaximal, characteristic, complemented
12C43×#1625C211yesmaximal, characteristic, complemented
13C43×#1622C211yesmaximal, characteristic, complemented
14C43×#1592C211yesmaximal, characteristic, complemented
15C43×#1581C211yesmaximal, characteristic, complemented
16C2×AGL(1,ℤ/8)×C43—21no—
17C2×AGL(1,ℤ/8)×C43—21no—
18C43×#554C2211yescharacteristic, complemented
19C43×#550C2211yescharacteristic
20C43×#547C2211yescharacteristic
21D42×C43C2211yescharacteristic
22C43×#498C2211yescharacteristic, complemented
23C43×#493C2211yescharacteristic
24C43×#492C2211yescharacteristic
25C43×#492C2211yescharacteristic
26C43×#490—21no—
27C43×#486C2211yescharacteristic, complemented
28C43×#486C2211yescharacteristic, complemented
29C43×#483—21no—
30C43×#481—21no—
31C43×#478—21no—
32C43×#476C2211yescharacteristic
33C43×#476C2211yescharacteristic
34C43×#475C2211yescharacteristic, complemented
35C43×#469—21no—
36C43×#468—21no—
37C43×#465—21no—
38C43×#461C2211yescharacteristic
39C43×#460C2211yescharacteristic
40C43×#459—21no—
41C43×#459C2211yescharacteristic
42C43×#459C2211yescharacteristic
43C43×#459C2211yescharacteristic, complemented
44C43×#450—21no—
45C43×#449—21no—
46C43×#449—21no—
47C43×#447—21no—
48C43×#446C2211yescharacteristic, complemented
49C43×#442—21no—
50C4×SD16×C43C2211yescharacteristic
51C4×D8×C43C2211yescharacteristic
52C43×#436C2211yescharacteristic
53C43×#436C2211yescharacteristic
54C8×D4×C43C2211yescharacteristic, complemented
55C2×#106×C43—21no—
56C43×#335C2211yescharacteristic, complemented
57C43×#335C2211yescharacteristic, complemented
58C43×#333C2211yescharacteristic, complemented
59C43×#332C2211yescharacteristic, complemented
60C43×#331C2211yescharacteristic
61C43×#331C2211yescharacteristic, complemented
62C43×Q8⋊C8C2211yescharacteristic, complemented
63C43×D4⋊C8C2211yescharacteristic
64C43×D4⋊C8C2211yescharacteristic
65C43×D4⋊C8C2211yescharacteristic, complemented
66C43×#322C2211yescharacteristic, complemented
67C2×#41×C43—21no—
68C2×#41×C43—21no—
69C22×D4×C43—21no—
70C22×D4×C43—21no—
71AGL(1,ℤ/8)×C43—44no—
72AGL(1,ℤ/8)×C43—44no—
73C2×SD16×C43—21no—
74C2×SD16×C43—21no—
75C2×SD16×C43—21no—
76C2×SD16×C43—21no—
77C2×SD16×C43—41no—
78C2×SD16×C43D411yescharacteristic
79C2×D8×C43—21no—
80C2×D8×C43—21no—
81C2×D8×C43—21no—
82C2×D8×C43—21no—
83C2×D8×C43—21no—
84C2×D8×C43D411yescharacteristic
85C2×M16×C43—21no—
86C2×M16×C43—21no—
87C22×C8×C43—21no—
88C4⋊Q8×C43C2311yescharacteristic
89C4⋊Q8×C43C2311yescharacteristic
90#127×C43—21no—
91#127×C43C2311yescharacteristic
92#127×C43C2311yescharacteristic
93#125×C43—21no—
94#123×C43—41no—
95C22⋊Q8×C43—21no—
96C22⋊Q8×C43—21no—
97C22⋊Q8×C43—41no—
98#121×C43—21no—
99#121×C43—21no—
100#121×C43—21no—
101#121×C43—21no—
102#121×C43—41no—
103#120×C43—41no—
104C4×Q8×C43C2311yescharacteristic
105C4×D4×C43—21no—
106C4×D4×C43—21no—
107C4×D4×C43C2311yescharacteristic
108C4×D4×C43C2311yescharacteristic
109C4×D4×C43C2311yescharacteristic
110C2×C4⋊C4×C43—21no—
111C2×C4⋊C4×C43—21no—
112#107×C43D411yescharacteristic
113#106×C43—21no—
114#106×C43—21no—
115#106×C43—21no—
116#106×C43—21no—
117#106×C43—21no—
118#106×C43D411yescharacteristic
119C4⋊C8×C43—21no—
120C4⋊C8×C43C2311yescharacteristic
121C4⋊C8×C43C2311yescharacteristic
122C4⋊C8×C43C2311yescharacteristic
123C4⋊C8×C43C2311yescharacteristic
124#103×C43—21no—
125#103×C43—21no—
126#103×C43D411yescharacteristic
127#102×C43—21no—
128#102×C43—21no—
129#102×C43—21no—
130#102×C43—21no—
131#102×C43—21no—
132#102×C43—21no—
133#102×C43—21no—
134#102×C43—21no—
135#102×C43—41no—
136#102×C43D411yescharacteristic
137#102×C43D411yescharacteristic
138#102×C43D411yescharacteristic
139C22⋊C8×C43—21no—
140C22⋊C8×C43—21no—
141C22⋊C8×C43—21no—
142#97×C43—21no—
143C4×C8×C43C2311yescharacteristic
144C4×C8×C43C2311yescharacteristic
145C4×C8×C43C2311yescharacteristic
146C24×C43—41no—
147#41×C43—42no—
148#41×C43—42no—
149#41×C43—81no—
150#41×C43—81no—
151C2×Q8×C43—21no—
152C2×Q8×C43—21no—
153C2×Q8×C43C2×D411yescharacteristic
154C2×D4×C43—21no—
155C2×D4×C43—21no—
156C2×D4×C43—21no—
157C2×D4×C43—21no—
158C2×D4×C43—21no—
159C2×D4×C43—21no—
160C2×D4×C43—41no—
161C2×D4×C43—41no—
162C2×D4×C43—41no—
163C2×D4×C43—41no—
164C2×D4×C43—41no—
165C2×D4×C43—42no—
166C2×D4×C43—42no—
167C2×D4×C43—81no—
168C2×D4×C43—81no—
169C2×D4×C43C2×D411yescharacteristic
170C2×D4×C43C2×D411yescharacteristic
171C2×D4×C43C2×D411yescharacteristic
172C22×C4×C43—21no—
173C22×C4×C43—21no—
174C22×C4×C43—21no—
175C22×C4×C43—41no—
176C22×C4×C43—41no—
177C22×C4×C43—41no—
178SD16×C43—22no—
179SD16×C43—42no—
180SD16×C43—42no—
181SD16×C43—42no—
182SD16×C43—81no—
183SD16×C43—82no—
184D8×C43—22no—
185D8×C43—42no—
186D8×C43—42no—
187D8×C43—42no—
188D8×C43—42no—
189D8×C43—81no—
190M16×C43—42no—
191M16×C43—42no—
192C2×C8×C43—21no—
193C2×C8×C43—21no—
194C2×C8×C43—21no—
195C2×C8×C43—21no—
196C2×C8×C43—21no—
197C2×C8×C43—42no—
198C2×C8×C43C2×D411yescharacteristic
199C2×C8×C43C2×D411yescharacteristic
200C2×C8×C43C2×D411yescharacteristic
201C2×C8×C43C2×D411yescharacteristic
202C4⋊C4×C43—21no—
203C4⋊C4×C43—21no—
204C4⋊C4×C43—21no—
205C4⋊C4×C43—21no—
206C4⋊C4×C43—21no—
207C4⋊C4×C43—41no—
208C4⋊C4×C43—41no—
209C4⋊C4×C43—41no—
210C4⋊C4×C43C2×D411yescharacteristic
211C4⋊C4×C43C2×D411yescharacteristic
212C4⋊C4×C43C2×D411yescharacteristic
213C4⋊C4×C43C2×D411yescharacteristic
214C22⋊C4×C43—21no—
215C22⋊C4×C43—21no—
216C22⋊C4×C43—21no—
217C22⋊C4×C43—41no—
218C22⋊C4×C43—41no—
219C22⋊C4×C43—41no—
220C22⋊C4×C43—41no—
221C42×C43—21no—
222C42×C43C2411yescharacteristic
223C23×C43—21no—
224C23×C43—21no—
225C23×C43—21no—
226C23×C43—41no—
227C23×C43—41no—
228C23×C43—82no—
229C23×C43—82no—
230C23×C43—161no—
231Q8×C43—21no—
232Q8×C43—21no—
233Q8×C43—41no—
234Q8×C43—41no—
235Q8×C43—81no—
236D4×C43—21no—
237D4×C43—21no—
238D4×C43—21no—
239D4×C43—21no—
240D4×C43—21no—
241D4×C43—41no—
242D4×C43—41no—
243D4×C43—41no—
244D4×C43—41no—
245D4×C43—41no—
246D4×C43—41no—
247D4×C43—41no—
248D4×C43—41no—
249D4×C43—81no—
250D4×C43—81no—
251D4×C43—82no—
252D4×C43—82no—
253D4×C43—82no—
254D4×C43—82no—
255D4×C43—161no—
256D4×C43AGL(1,ℤ/8)12yescomplemented
257C2×C4×C43—21no—
258C2×C4×C43—21no—
259C2×C4×C43—21no—
260C2×C4×C43—21no—
261C2×C4×C43—21no—
262C2×C4×C43—41no—
263C2×C4×C43—41no—
264C2×C4×C43—41no—
265C2×C4×C43—41no—
266C2×C4×C43—41no—
267C2×C4×C43—41no—
268C2×C4×C43—41no—
269C2×C4×C43—41no—
270C2×C4×C43—82no—
271C2×C4×C43—82no—
272C2×C4×C43—161no—
273C2×C4×C43C22×D411yescharacteristic
274C2×C4×C43C22×D411yescharacteristic
275C2×C4×C43H(5,𝔽2)11yescharacteristic
276C8×C43—21no—
277C8×C43—21no—
278C8×C43—21no—
279C8×C43—41no—
280C8×C43—41no—
281C8×C43—41no—
282C8×C43—41no—
283C8×C43—41no—
284C8×C43AGL(1,ℤ/8)12yescomplemented
285#20195C4311yesmaximal, characteristic, direct product factor, Sylow
286C22×C43—22no—
287C22×C43—41no—
288C22×C43—41no—
289C22×C43—41no—
290C22×C43—41no—
291C22×C43—41no—
292C22×C43—41no—
293C22×C43—41no—
294C22×C43—41no—
295C22×C43—81no—
296C22×C43—81no—
297C22×C43—81no—
298C22×C43—81no—
299C22×C43—81no—
300C22×C43—81no—
301C22×C43—164no—
302C22×C43D4211yescharacteristic
303C4×C43—21no—
304C4×C43—41no—
305C4×C43—41no—
306C4×C43—41no—
307C4×C43—41no—
308C4×C43—41no—
309C4×C43—81no—
310C4×C43—81no—
311C4×C43C2×AGL(1,ℤ/8)11yescharacteristic
312C4×C43C2×AGL(1,ℤ/8)11yescharacteristic
313C4×C43#57711yescharacteristic
314C4×C43#57711yescharacteristic
315#3366C2×C4311yescharacteristic, complemented
316#3335C2×C4311yescharacteristic, complemented
317#3274C2×C4311yescharacteristic, complemented
318#3272C2×C4311yescharacteristic, complemented
319#1715C2×C4311yescharacteristic, complemented
320#1697C2×C4311yescharacteristic, complemented
321#1691C2×C4311yescharacteristic, complemented
322#1686C2×C4311yescharacteristic, complemented
323#1667C2×C4311yescharacteristic, complemented
324#1642C2×C4311yescharacteristic, complemented
325#1629C2×C4311yescharacteristic, complemented
326#1625C2×C4311yescharacteristic, complemented
327#1622C2×C4311yescharacteristic, complemented
328#1592C2×C4311yescharacteristic, complemented
329#1581C2×C4311yescharacteristic, complemented
330C2×C43—42no—
331C2×C43—81no—
332C2×C43—81no—
333C2×C43—161no—
334C2×C43—161no—
335C2×C43#326511yescharacteristic
336C2×C43#327211yescharacteristic
337C2×C43#328811yescharacteristic
338C2×AGL(1,ℤ/8)—21no—
339C2×AGL(1,ℤ/8)—21no—
340#554C22×C4311yescharacteristic, complemented
341#550C22×C4311yescharacteristic
342#547C22×C4311yescharacteristic
343D42C22×C4311yescharacteristic
344#498C22×C4311yescharacteristic, complemented
345#493C22×C4311yescharacteristic
346#492C22×C4311yescharacteristic
347#492C22×C4311yescharacteristic
348#490—21no—
349#486C22×C4311yescharacteristic, complemented
350#486C22×C4311yescharacteristic, complemented
351#483—21no—
352#481—21no—
353#478—21no—
354#476C22×C4311yescharacteristic
355#476C22×C4311yescharacteristic
356#475C22×C4311yescharacteristic, complemented
357#469—21no—
358#468—21no—
359#465—21no—
360#461C22×C4311yescharacteristic
361#460C22×C4311yescharacteristic
362#459—21no—
363#459C22×C4311yescharacteristic
364#459C22×C4311yescharacteristic
365#459C22×C4311yescharacteristic, complemented
366#450—21no—
367#449—21no—
368#449—21no—
369#447—21no—
370#446C22×C4311yescharacteristic, complemented
371#442—21no—
372C4×SD16C22×C4311yescharacteristic
373C4×D8C22×C4311yescharacteristic
374#436C22×C4311yescharacteristic
375#436C22×C4311yescharacteristic
376C8×D4C22×C4311yescharacteristic, complemented
377C2×#106—21no—
378#335C22×C4311yescharacteristic, complemented
379#335C22×C4311yescharacteristic, complemented
380#333C22×C4311yescharacteristic, complemented
381#332C22×C4311yescharacteristic, complemented
382#331C22×C4311yescharacteristic
383#331C22×C4311yescharacteristic, complemented
384Q8⋊C8C22×C4311yescharacteristic, complemented
385D4⋊C8C22×C4311yescharacteristic
386D4⋊C8C22×C4311yescharacteristic
387D4⋊C8C22×C4311yescharacteristic, complemented
388#322C22×C4311yescharacteristic, complemented
389C43#2019511yescharacteristic, direct product factor, Sylow
390C2×#41—21no—
391C2×#41—21no—
392C22×D4—21no—
393C22×D4—21no—
394AGL(1,ℤ/8)—44no—
395AGL(1,ℤ/8)—44no—
396C2×SD16—21no—
397C2×SD16—21no—
398C2×SD16—21no—
399C2×SD16—21no—
400C2×SD16—41no—
401C2×SD16D4×C4311yescharacteristic
402C2×D8—21no—
403C2×D8—21no—
404C2×D8—21no—
405C2×D8—21no—
406C2×D8—21no—
407C2×D8D4×C4311yescharacteristic
408C2×M16—21no—
409C2×M16—21no—
410C22×C8—21no—
411C4⋊Q8C23×C4311yescharacteristic
412C4⋊Q8C23×C4311yescharacteristic
413#127—21no—
414#127C23×C4311yescharacteristic
415#127C23×C4311yescharacteristic
416#125—21no—
417#123—41no—
418C22⋊Q8—21no—
419C22⋊Q8—21no—
420C22⋊Q8—41no—
421#121—21no—
422#121—21no—
423#121—21no—
424#121—21no—
425#121—41no—
426#120—41no—
427C4×Q8C23×C4311yescharacteristic
428C4×D4—21no—
429C4×D4—21no—
430C4×D4C23×C4311yescharacteristic
431C4×D4C23×C4311yescharacteristic
432C4×D4C23×C4311yescharacteristic
433C2×C4⋊C4—21no—
434C2×C4⋊C4—21no—
435#107D4×C4311yescharacteristic
436#106—21no—
437#106—21no—
438#106—21no—
439#106—21no—
440#106—21no—
441#106D4×C4311yescharacteristic
442C4⋊C8—21no—
443C4⋊C8C23×C4311yescharacteristic
444C4⋊C8C23×C4311yescharacteristic
445C4⋊C8C23×C4311yescharacteristic
446C4⋊C8C23×C4311yescharacteristic
447#103—21no—
448#103—21no—
449#103D4×C4311yescharacteristic
450#102—21no—
451#102—21no—
452#102—21no—
453#102—21no—
454#102—21no—
455#102—21no—
456#102—21no—
457#102—21no—
458#102—41no—
459#102D4×C4311yescharacteristic
460#102D4×C4311yescharacteristic
461#102D4×C4311yescharacteristic
462C22⋊C8—21no—
463C22⋊C8—21no—
464C22⋊C8—21no—
465#97—21no—
466C4×C8C23×C4311yescharacteristic
467C4×C8C23×C4311yescharacteristic
468C4×C8C23×C4311yescharacteristic
469C24—41no—
470#41—42no—
471#41—42no—
472#41—81no—
473#41—81no—
474C2×Q8—21no—
475C2×Q8—21no—
476C2×Q8C2×D4×C4311yescharacteristic
477C2×D4—21no—
478C2×D4—21no—
479C2×D4—21no—
480C2×D4—21no—
481C2×D4—21no—
482C2×D4—21no—
483C2×D4—41no—
484C2×D4—41no—
485C2×D4—41no—
486C2×D4—41no—
487C2×D4—42no—
488C2×D4—42no—
489C2×D4—41no—
490C2×D4—81no—
491C2×D4—81no—
492C2×D4C2×D4×C4311yescharacteristic
493C2×D4C2×D4×C4311yescharacteristic
494C2×D4C2×D4×C4311yescharacteristic
495C22×C4—21no—
496C22×C4—21no—
497C22×C4—21no—
498C22×C4—41no—
499C22×C4—41no—
500C22×C4—41no—
501SD16—22no—
502SD16—42no—
503SD16—42no—
504SD16—42no—
505SD16—81no—
506SD16—82no—
507D8—22no—
508D8—42no—
509D8—42no—
510D8—42no—
511D8—42no—
512D8—81no—
513M16—42no—
514M16—42no—
515C2×C8—21no—
516C2×C8—21no—
517C2×C8—21no—
518C2×C8—21no—
519C2×C8—21no—
520C2×C8—42no—
521C2×C8C2×D4×C4311yescharacteristic
522C2×C8C2×D4×C4311yescharacteristic
523C2×C8C2×D4×C4311yescharacteristic
524C2×C8C2×D4×C4311yescharacteristic
525C4⋊C4—21no—
526C4⋊C4—21no—
527C4⋊C4—21no—
528C4⋊C4—21no—
529C4⋊C4—21no—
530C4⋊C4—41no—
531C4⋊C4—41no—
532C4⋊C4—41no—
533C4⋊C4C2×D4×C4311yescharacteristic
534C4⋊C4C2×D4×C4311yescharacteristic
535C4⋊C4C2×D4×C4311yescharacteristic
536C4⋊C4C2×D4×C4311yescharacteristic
537C22⋊C4—21no—
538C22⋊C4—21no—
539C22⋊C4—21no—
540C22⋊C4—41no—
541C22⋊C4—41no—
542C22⋊C4—41no—
543C22⋊C4—41no—
544C42—21no—
545C42C24×C4311yescharacteristic
546C23—21no—
547C23—21no—
548C23—21no—
549C23—41no—
550C23—41no—
551C23—82no—
552C23—82no—
553C23—161no—
554Q8—21no—
555Q8—21no—
556Q8—41no—
557Q8—41no—
558Q8—81no—
559D4—21no—
560D4—21no—
561D4—21no—
562D4—21no—
563D4—21no—
564D4—41no—
565D4—41no—
566D4—41no—
567D4—41no—
568D4—41no—
569D4—41no—
570D4—41no—
571D4—41no—
572D4—81no—
573D4—81no—
574D4—82no—
575D4—82no—
576D4—82no—
577D4—82no—
578D4—161no—
579D4AGL(1,ℤ/8)×C4312yescomplemented
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—41no—
586C2×C4—41no—
587C2×C4—41no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—82no—
594C2×C4—82no—
595C2×C4—161no—
596C2×C4C22×D4×C4311yescharacteristic
597C2×C4C22×D4×C4311yescharacteristic
598C2×C4H(5,𝔽2)×C4311yescharacteristic
599C8—21no—
600C8—21no—
601C8—21no—
602C8—41no—
603C8—41no—
604C8—41no—
605C8—41no—
606C8—41no—
607C8AGL(1,ℤ/8)×C4312yescomplemented
608C22—22no—
609C22—41no—
610C22—41no—
611C22—41no—
612C22—41no—
613C22—41no—
614C22—41no—
615C22—41no—
616C22—41no—
617C22—81no—
618C22—81no—
619C22—81no—
620C22—81no—
621C22—81no—
622C22—81no—
623C22—164no—
624C22D42×C4311yescharacteristic
625C4—21no—
626C4—41no—
627C4—41no—
628C4—41no—
629C4—41no—
630C4—41no—
631C4—81no—
632C4—81no—
633C4C2×AGL(1,ℤ/8)×C4311yescharacteristic
634C4C2×AGL(1,ℤ/8)×C4311yescharacteristic
635C4C43×#57711yescharacteristic
636C4C43×#57711yescharacteristic
637C2—42no—
638C2—81no—
639C2—81no—
640C2—161no—
641C2—161no—
642C2C43×#326511yescharacteristic
643C2C43×#327211yescharacteristic
644C2C43×#328811yescharacteristic
subgroupG/H
center, socleC22×C43D42
commutator, Frattini, cosocleC42C24×C43
LCSG ▷ C42 ▷ C22 ▷ C1
UCSC1 ◁ C22×C43 ◁ C42×C43 ◁ G

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C43×#3366C2semidirect
2. C43×#3335C2semidirect
3. C43×#3274C2semidirect
4. C43×#3272C2semidirect
5. C43×#1715C2semidirect
6. C43×#1697C2semidirect
7. C43×#1691C2semidirect
8. C43×#1686C2semidirect
9. C43×#1667C2semidirect
10. C43×#1642C2semidirect
11. C43×#1629C2semidirect
12. C43×#1625C2semidirect
13. C43×#1622C2semidirect
14. C43×#1592C2semidirect
15. C43×#1581C2semidirect
18. C43×#554C22semidirect
22. C43×#498C22semidirect
27. C43×#486C22semidirect
28. C43×#486C22semidirect
34. C43×#475C22semidirect
43. C43×#459C22semidirect
48. C43×#446C22semidirect
54. C8×D4×C43C22semidirect
56. C43×#335C22semidirect
57. C43×#335C22semidirect
58. C43×#333C22semidirect
59. C43×#332C22semidirect
61. C43×#331C22semidirect
62. C43×Q8⋊C8C22semidirect
65. C43×D4⋊C8C22semidirect
66. C43×#322C22semidirect
256. D4×C43AGL(1,ℤ/8)semidirect
284. C8×C43AGL(1,ℤ/8)semidirect
285. #20195C43direct (N × H)
315. #3366C2×C43semidirect
316. #3335C2×C43semidirect
317. #3274C2×C43semidirect
318. #3272C2×C43semidirect
319. #1715C2×C43semidirect
320. #1697C2×C43semidirect
321. #1691C2×C43semidirect
322. #1686C2×C43semidirect
323. #1667C2×C43semidirect
324. #1642C2×C43semidirect
325. #1629C2×C43semidirect
326. #1625C2×C43semidirect
327. #1622C2×C43semidirect
328. #1592C2×C43semidirect
329. #1581C2×C43semidirect
340. #554C22×C43semidirect
344. #498C22×C43semidirect
349. #486C22×C43semidirect
350. #486C22×C43semidirect
356. #475C22×C43semidirect
365. #459C22×C43semidirect
370. #446C22×C43semidirect
376. C8×D4C22×C43semidirect
378. #335C22×C43semidirect
379. #335C22×C43semidirect
380. #333C22×C43semidirect
381. #332C22×C43semidirect
383. #331C22×C43semidirect
384. Q8⋊C8C22×C43semidirect
387. D4⋊C8C22×C43semidirect
388. #322C22×C43semidirect
389. C43#20195direct (N × H)
579. D4AGL(1,ℤ/8)×C43semidirect
607. C8AGL(1,ℤ/8)×C43semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C43×#33662
C43×#33352
C43×#32742
C43×#32722
C43×#17152
C43×#16972
C43×#16912
C43×#16862
C43×#16672
C43×#16422
C43×#16292
C43×#16252
C43×#16222
C43×#15922
C43×#15812
#2019543